Journal of Jilin University Science Edition

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Existence and Uniqueness of Positive Solutions for a Class of Singular Nonlinear Systems of Fractional Differential Equations

LI Xuemei1, DAI Qun2, LI Huilai1   

  1. 1. College of Mathematics, Jilin University, Changchun 130012, China;2. College of Science, Changchun University of Science and Technology, Changchun 130022, China
  • Received:2014-09-04 Online:2015-03-26 Published:2015-03-24
  • Contact: LI Huilai E-mail:lihuilai@mail.jlu.edu.cn

Abstract:

On the basis of a coupled fixed point theorem on ordered metric spaces, we studied the existence and uniqueness of a positive solution for a kind of singular nonlinear fractional differential system of equations boundary value problem and obtained 2 theorems the existence and uniqueness  of solutions of such equations.

Key words: singular fractional differential system of equations; positive solution, ordered metric space, coupled fixed point

CLC Number: 

  • O175.08